Home / 210,950-461,967

Finding the Third Proportional to 210,950 and 461,967

Calculator

Solution

The third proportional to 210,950 and 461,967 is: 1,011,678.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,950 : 461,967 = 461,967 : x
  2. Step 2: Convert to fraction form
    210,950/461,967 = 461,967/x
  3. Step 3: Cross multiply
    210,950x = 461,967 × 461,967
  4. Step 4: Simplify right side
    210,950x = 213,413,509,089
  5. Step 5: Solve for x
    x = 213,413,509,089/210,950
  6. Step 6: Final answer
    x = 1,011,678.17

Related Problems

Find third proportional to 105,475 and 230,983.50
Half scale
Find third proportional to 421,900 and 923,934
Double scale
Find third proportional to 210,952 and 461,971
Similar ratio
Find third proportional to 316,425 and 692,950.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.